GCD of 330, 988, 312, 204 Calculator

Given Input numbers are 330, 988, 312, 204

In the factoring method, we have to find the divisors of all numbers

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (330, 988, 312, 204) = 2.

Given numbers are 330, 988, 312, 204

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 330, 988, 312, 204 is 2.

Given numbers are 330, 988, 312, 204

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(330, 988) = 163020

GCD(330, 988) = ( 330 x 988 ) / 163020

= 330 / 988

= 330

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 330, 988, 312, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 234, 155, 212
• GCD of 299, 727, 732, 823
• GCD of 317, 315, 926, 785
• GCD of 961, 455, 739, 451
• GCD of 484, 307, 425, 600

Given numbers are 330, 988, 312, 204
The greatest common divisor of numbers 330, 988, 312, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 988, 312, 204 is 2.

1. What is the GCD of 330, 988, 312, 204?

GCD of given numbers 330, 988, 312, 204 is 2

2. How to calculate the greatest common divisor of 330, 988, 312, 204?

We can find the highest common divisor of 330, 988, 312, 204 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 330, 988, 312, 204 i.e 2.

3. How can I use the GCD of 330, 988, 312, 204Calculator?

Out the numbers 330, 988, 312, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.